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Finding the Third Proportional to 15,970 and 36,109

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Solution

The third proportional to 15,970 and 36,109 is: 81,644.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,970 : 36,109 = 36,109 : x
  2. Step 2: Convert to fraction form
    15,970/36,109 = 36,109/x
  3. Step 3: Cross multiply
    15,970x = 36,109 × 36,109
  4. Step 4: Simplify right side
    15,970x = 1,303,859,881
  5. Step 5: Solve for x
    x = 1,303,859,881/15,970
  6. Step 6: Final answer
    x = 81,644.33

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.